The potential outcomes framework introduced by [1]} and [2]} explore the potential outcomes of a given intervention. Formally the framework is primarily interested in \(Y(a), a \in \mathcal {C}\)  where \(Y\)  is the outcome given intervention \(a\)  which belongs in the set of possible actions \(\mathcal {C}\) . For the simple case where we are interested in the outcome of a specific treatment, we can define use the following definitions:
